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313738416 = 24322178739
BaseRepresentation
bin10010101100110…
…100010010110000
3210212100120012100
4102230310102300
51120304112131
651044300400
710526506155
oct2254642260
9725316170
10313738416
11151108352
12890a1700
134cccb144
142d94c22c
151c8247e6
hex12b344b0

313738416 has 30 divisors (see below), whose sum is σ = 878032220. Its totient is φ = 104579424.

The previous prime is 313738409. The next prime is 313738427. The reversal of 313738416 is 614837313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1089226 + ... + 1089513.

Almost surely, 2313738416 is an apocalyptic number.

313738416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313738416 is an abundant number, since it is smaller than the sum of its proper divisors (564293804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313738416 is a wasteful number, since it uses less digits than its factorization.

313738416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178753 (or 2178744 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 313738416 is about 17712.6625892326. The cubic root of 313738416 is about 679.4996434527.

The spelling of 313738416 in words is "three hundred thirteen million, seven hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2178739 4357478 6536217 8714956 13072434 17429912 19608651 26144868 34859824 39217302 52289736 78434604 104579472 156869208 313738416